math.CT · 2026-06-24 · No. 33

Category Theory, 2026-06-24.

1 new papers in math.CT. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

1 entries
  1. 01

    Infinitesimal Causality

    Sridhar Mahadevan

    math.CT · cs.AI · math.ST

    This paper introduces a categorical account of infinitesimal causality in Frobenius Markov categories equipped with tangent-bundle semantics. IDC captures the infinitesimal layer in which interventions act as tangent deformations of copy/discard structure. Two distinct Frobenius structures interact: (1) the categorical Frobenius algebra on classical variables encoding copying, comparing, and discarding; and (2) the geometric Frobenius...

    arxiv.org/abs/2606.24621 · PDF

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